21 citations · 48 across the 18 of their papers we have counts for
5 papers · 2 filters
A fractional Brezis-Nirenberg problem with multipolar Hardy potentials
Debangana Mukherjee
We study a fractional Brezis--Nirenberg problem on a bounded domain with finitely many Hardy potentials centered at distinct points , with masses $μ_1,\dots,μ_k\geq…
Critical fractional -Hardy Sobolev equations: Global compactness and multiplicity of positive solutions
Nirjan Biswas, Souptik Chakraborty, Debangana Mukherjee
We study the critical fractional -Hardy-Sobolev equation \begin{equation}\tag{}\label{a-main} (-Δ_p)^s u -μ\dfrac{|u|^{p-2}u}{|x|^{sp}}=\dfrac{|u|^{p^*_s(α)-2}u}{|x…
Nonlocal Tikhonov Regularization: Hilbert Scales, Explicit Rates, and the Classical Limit
Debangana Mukherjee, Akash Ashirbad Panda
We study fractional-Sobolev Tikhonov regularization for linear inverse problems on a bounded Lipschitz domain. The regularization penalty is generated by the restricted Dirichlet f…
Equivalence of weak and viscosity solutions for nonlocal p-Laplace type equations on the Heisenberg group
Debangana Mukherjee, Vivek Tewary
We establish the equivalence between weak and viscosity solutions for a broad class of nonlocal -Laplace type equations on the Heisenberg group whose kernels satisfy standard sy…
On fractional critical problems with multi-polar Hardy potentials
Edoardo Mainini, Debangana Mukherjee, Roberto Ognibene
We investigate the existence of positive solutions to fractional equations presenting a double criticality: a multi-polar Hardy-type potential and a Sobolev critical nonlinearity.…